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Given a fixed-sample-size test that controls the error probabilities under two specific, but arbitrary, distributions, a 3-stage and two 4-stage tests are proposed and analyzed. For each of them, a novel, concrete, non-asymptotic,…

Statistics Theory · Mathematics 2022-06-27 Yiming Xing , Georgios Fellouris

In genetic association studies, rare variants with extremely small allele frequency play a crucial role in complex traits, and the set-based testing methods that jointly assess the effects of groups of single nucleotide polymorphisms (SNPs)…

Methodology · Statistics 2020-03-13 Shonosuke Sugasawa , Hisashi Noma

We introduce a new method for two-sample testing of high-dimensional linear regression coefficients without assuming that those coefficients are individually estimable. The procedure works by first projecting the matrices of covariates and…

Statistics Theory · Mathematics 2023-05-11 Fengnan Gao , Tengyao Wang

In applications of group testing in networks, e.g. identifying individuals who are infected by a disease spread over a network, exploiting correlation among network nodes provides fundamental opportunities in reducing the number of tests…

Information Theory · Computer Science 2023-03-21 Hesam Nikpey , Jungyeol Kim , Xingran Chen , Saswati Sarkar , Shirin Saeedi Bidokhti

We present a machine learning method capable of accurately detecting chromosome abnormalities that cause blood cancers directly from microscope images of the metaphase stage of cell division. The pipeline is built on a series of fine-tuned…

We discuss a graph-based approach for testing spatial point patterns. This approach falls under the category of data-random graphs, which have been introduced and used for statistical pattern recognition in recent years. Our goal is to test…

Methodology · Statistics 2008-02-06 E. Ceyhan , C. E. Priebe , D. J. Marchette

The test of independence is a crucial component of modern data analysis. However, traditional methods often struggle with the complex dependency structures found in high-dimensional data. To overcome this challenge, we introduce a novel…

Methodology · Statistics 2024-09-13 Mingshuo Liu , Doudou Zhou , Hao Chen

The advent of high-throughput sequencing technologies has lead to vast comparative genome sequences. The construction of gene-gene interaction networks or dependence graphs on the genome scale is vital for understanding the regulation of…

Methodology · Statistics 2023-03-06 Xinyao Fan , Harry Joe , Yongjin Park

It is frequently of interest to jointly analyze two paired sequences of multiple tests. This paper studies the problem of detecting whether there are more pairs of tests that are significant in both sequences than would be expected by…

Methodology · Statistics 2017-06-26 Sihai Dave Zhao , T. Tony Cai , Hongzhe Li

Canonical correlation analysis (CCA) is a widely used technique for estimating associations between two sets of multi-dimensional variables. Recent advancements in CCA methods have expanded their application to decipher the interactions of…

Machine Learning · Statistics 2025-02-05 Hongju Park , Shuyang Bai , Zhenyao Ye , Hwiyoung Lee , Tianzhou Ma , Shuo Chen

High-dimensional phenotypes hold promise for richer findings in association studies, but testing of several phenotype traits aggravates the grand challenge of association studies, that of multiple testing. Several methods have recently been…

Methodology · Statistics 2013-05-14 Pekka Marttinen , Jussi Gillberg , Aki Havulinna , Jukka Corander , Samuel Kaski

The variance component tests used in genomewide association studies of thousands of individuals become computationally exhaustive when multiple traits are analysed in the context of omics studies. We introduce two high-throughput algorithms…

Computational Engineering, Finance, and Science · Computer Science 2012-11-13 Diego Fabregat-Traver , Yurii S. Aulchenko , Paolo Bientinesi

Power-enhanced tests with high-dimensional data have received growing attention in theoretical and applied statistics in recent years. Existing tests possess their respective high-power regions, and we may lack prior knowledge about the…

Methodology · Statistics 2021-10-01 Xiufan Yu , Danning Li , Lingzhou Xue , Runze Li

A phase diagram is a graph in parameter space showing the phase boundaries of a many-particle system. Commonly, the control parameters are chosen to be those of the (generalized) canonical ensemble, such as temperature and magnetic field.…

Statistical Mechanics · Physics 2009-06-22 Michael Kastner , Michel Pleimling

There is a growing interest in the implementation of platform trials, which provide the flexibility to incorporate new treatment arms during the trial and the ability to halt treatments early based on lack of benefit or observed…

Methodology · Statistics 2023-08-25 Peter Greenstreet , Thomas Jaki , Alun Bedding , Pavel Mozgunov

A rigorous methodology is proposed to study cell division data consisting in several observed genealogical trees of possibly different shapes. The procedure takes into account missing observations, data from different trees, as well as the…

Applications · Statistics 2013-04-15 Benoîte de Saporta , Anne Gégout Petit , Laurence Marsalle

Meta-analysis seeks to combine the results of several experiments in order to improve the accuracy of decisions. It is common to use a test for homogeneity to determine if the results of the several experiments are sufficiently similar to…

Methodology · Statistics 2009-08-01 Elena Kulinskaya , Michael B. Dollinger , Kirsten Bjørkestøl

Directional tests to compare incomplete undirected graphs are developed in the general context of covariance selection for Gaussian graphical models. The exactness of the underlying saddlepoint approximation is proved for chordal graphs and…

Methodology · Statistics 2023-05-16 Claudia Di Caterina , Nancy Reid , Nicola Sartori

Gene-gene interactions have long been recognized to be fundamentally important to understand genetic causes of complex disease traits. At present, identifying gene-gene interactions from genome-wide case-control studies is computationally…

Genomics · Quantitative Biology 2010-01-29 Xiang Wan , Can Yang , Qiang Yang , Hong Xue , Xiaodan Fan , Nelson L. S. Tang , Weichuan Yu

The two-phase sampling design is a cost-efficient way of collecting expensive covariate information on a judiciously selected subsample. It is natural to apply such a strategy for collecting genetic data in a subsample enriched for exposure…

Applications · Statistics 2013-05-27 Jaeil Ahn , Bhramar Mukherjee , Stephen B. Gruber , Malay Ghosh